The invention relates to a method and a system for aircraft navigation along a predetermined airway, including an on-board navigation system supplying a positioning integrity of the aircraft during flight relative to said airway respecting an expected position precision performance level, and at least one on-board radio receiver on the aircraft suitable for communicating with at least one land-based radio beacon suitable for supplying a distance of the aircraft relative to said radio beacon. The system includes a module configured to obtain, from a current position of the aircraft and stored data, a tuple of radio beacons to be used, a module configured to obtain a distance measurement of the aircraft relative to each of the N radio beacons of said tuple, a module configured to compute an integrity position from distance measurements obtained by a predetermined computing method, and a module configured to use the computed integrity position as current integrity position.

A mobile device position estimation system includes: a vehicular system having a vehicle side transmitter transmitting an impulse signal, a vehicle side receiver receiving a response signal, and a vehicle side control unit outputting a transmission command signal of the impulse signal and receiving a notification signal of the response signal; and a mobile device having a mobile device side receiver receiving the impulse signal and a mobile device side transmitter transmitting the response signal. The vehicle side control unit includes: a reception detection unit detecting the response signal; a round-trip timer measuring a round-trip time; and a position estimation unit estimating a position of the mobile device. The position estimation unit: calculates a round-trip distance; and determines whether the mobile device is within a detection area.

A mobile device position estimation system includes: a vehicular system having a vehicle side transmitter transmitting an impulse signal, a vehicle side receiver receiving a response signal, and a vehicle side control unit outputting a transmission command signal of the impulse signal and receiving a notification signal of the response signal; and a mobile device having a mobile device side receiver receiving the impulse signal and a mobile device side transmitter transmitting the response signal. The vehicle side control unit includes: a reception detection unit detecting the response signal; a round-trip timer measuring a round-trip time; and a position estimation unit estimating a position of the mobile device. The position estimation unit: calculates a round-trip distance; and determines whether the mobile device is within a detection area.

A mobile device position estimation system includes: a vehicular system having a vehicle side transmitter transmitting an impulse signal, a vehicle side receiver receiving a response signal, and a vehicle side control unit outputting a transmission command signal of the impulse signal and receiving a notification signal of the response signal; and a mobile device having a mobile device side receiver receiving the impulse signal and a mobile device side transmitter transmitting the response signal. The vehicle side control unit includes: a reception detection unit detecting the response signal; a round-trip timer measuring a round-trip time; and a position estimation unit estimating a position of the mobile device. The position estimation unit: calculates a round-trip distance; and determines whether the mobile device is within a detection area.

A mobile device position estimation system includes: a vehicular system having a vehicle side transmitter transmitting an impulse signal, a vehicle side receiver receiving a response signal, and a vehicle side control unit outputting a transmission command signal of the impulse signal and receiving a notification signal of the response signal; and a mobile device having a mobile device side receiver receiving the impulse signal and a mobile device side transmitter transmitting the response signal. The vehicle side control unit includes: a reception detection unit detecting the response signal; a round-trip timer measuring a round-trip time; and a position estimation unit estimating a position of the mobile device. The position estimation unit: calculates a round-trip distance; and determines whether the mobile device is within a detection area.